Optical constants

Refractive index of K-LaFK65(M) (SUMITA)

K-LaFK65(M): n,k 0.36–1.55 µm

Data
formula 3 + tabulated k
Range
0.36–1.55 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.36–1.55 µm
Refractive index n
1.65224
Extinction coefficient k
3.12046e-08
Permittivity ε1
2.7299
Permittivity ε2
1.03115e-07
Absorption coefficient α
0.00667338 cm⁻¹
Penetration depth δ = λ/(2πk)
2.99698e+09 nm
Abbe number Vd
62.219
Chromatic dispersion dn/dλ
-0.0541735 µm⁻¹
Group index ng
1.68407
Group velocity dispersion
94.294 fs²/mm
Dispersion parameter D
-514.424 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# K-LaFK65(M) (SUMITA): K-LaFK65(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFK65(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (360, 1550) nm
eps = mat.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Polynomial (formula 3), λ in µm
n2=2.6875081−0.011599607⁢λ2.0+0.015290297⁢λ−2.0+0.00024225647⁢λ−4.0+4.1061121×10-6⁢λ−6.0−2.0740076×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.6875081
C2-0.011599607
C32.0
C40.015290297
C5-2.0
C60.00024225647
C7-4.0
C84.1061121e-06
C9-6.0
C10-2.0740076e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -7.58e-06 9.42e-09 -3.47e-11 3.97e-07 4.24e-10 0.182
nd
1.65224
Vd
62.2
glass code
657623
density
value: 4360
thermal expansion
value: 8.1e-06, temperature range: 243 343; value: 1.03e-05, temperature range: 293 573
dPgF
0.0025
resistance
acid: 5.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.39e-06 K⁻¹ at 633 nm, dn/dT = -3.76e-06 K⁻¹ at 1310 nm, dn/dT = -3.78e-06 K⁻¹ at 1550 nm

References

Cite

SUMITA Zemax catalog 2017-02-02 (obtained from http://www.sumita-opt.co.jp); See also SUMITA optical glass data book; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 416 wavelengths, the same grid as the API and the library
K-LaFK65(M) (SUMITA), K-LaFK65(M): n and k versus wavelength
λ (µm)nk
0.361.6791552.319800e-07
0.361321.6788272.209414e-07
0.3626441.6785022.098623e-07
0.3639731.678181.987426e-07
0.3653081.677861.875821e-07
0.3666471.6775431.763807e-07
0.3679911.6772291.651383e-07
0.369341.6769181.538546e-07
0.371.6767661.483300e-07
0.3706931.6766091.436587e-07
0.3720521.6763021.345047e-07
0.3734161.6759991.253172e-07
0.3747851.6756971.160960e-07
0.3761591.6753991.068411e-07
0.3775371.6751039.755214e-08
0.3789211.6748098.822917e-08
0.381.6745838.096300e-08
0.380311.6745188.070560e-08
0.3817041.6742297.954949e-08
0.3831041.6739437.838915e-08
0.3845081.6736587.722456e-08
0.3859171.6733777.605569e-08
0.3873321.6730977.488255e-08
0.3887521.672827.370510e-08
0.391.672587.267000e-08
0.3901771.6725467.232540e-08
0.3916071.6722736.953858e-08
0.3930431.6720036.674154e-08
0.3944831.6717356.393426e-08
0.3959291.6714696.111668e-08
0.3973811.6712065.828877e-08
0.3988371.6709445.545050e-08
0.41.6707385.318500e-08
0.4002991.6706855.289002e-08
0.4017671.6704285.144380e-08
0.4032391.6701734.999229e-08
0.4047171.669924.853545e-08
0.4062011.6696694.707328e-08
0.407691.6694214.560574e-08
0.4091841.6691744.413283e-08
0.4106841.6689294.265451e-08
0.412191.6686864.117078e-08
0.4137011.6684453.968161e-08
0.4152171.6682073.818698e-08
0.4167391.667973.668687e-08
0.4182671.6677353.518126e-08
0.41981.6675023.367014e-08
0.421.6674713.347300e-08
0.4213391.667273.279643e-08
0.4228831.6670413.201594e-08
0.4244331.6668143.123258e-08
0.4259891.6665883.044635e-08
0.4275511.6663642.965724e-08
0.4291181.6661422.886524e-08
0.4306911.6659222.807033e-08
0.432271.6657032.727251e-08
0.4338541.6654862.647177e-08
0.4354451.6652712.566809e-08
0.4370411.6650582.486146e-08
0.4386431.6648462.405188e-08
0.441.6646692.336600e-08
0.4402511.6646362.337931e-08
0.4418641.6644282.346500e-08
0.4434841.6642222.355101e-08
0.445111.6640172.363733e-08
0.4467411.6638132.372397e-08
0.4483791.6636112.381092e-08
0.4500231.6634112.389820e-08
0.4516721.6632132.398579e-08
0.4533281.6630152.407371e-08
0.454991.662822.416194e-08
0.4566571.6626262.425051e-08
0.4583311.6624342.433939e-08
0.461.6622442.442800e-08
0.4600111.6622432.442860e-08
0.4616981.6620532.451814e-08
0.463391.6618652.460801e-08
0.4650891.6616792.469820e-08
0.4667931.6614932.478873e-08
0.4685051.661312.487959e-08
0.4702221.6611272.497078e-08
0.4719461.6609472.506231e-08
0.4736751.6607672.515417e-08
0.4754121.6605892.524637e-08
0.4771541.6604122.533890e-08
0.4789041.6602372.543178e-08
0.481.6601282.549000e-08
0.4806591.6600632.552499e-08
0.4824211.659892.561855e-08
0.4841891.6597192.571245e-08
0.4859641.6595492.580670e-08
0.4877461.659382.590129e-08
0.4895331.6592132.599622e-08
0.4913281.6590462.609151e-08
0.4931291.6588812.618714e-08
0.4949361.6587182.628313e-08
0.4967511.6585552.637946e-08
0.4985721.6583942.647615e-08
0.51.6582692.655200e-08
0.5003991.6582342.657321e-08
0.5022331.6580752.667064e-08
0.5040741.6579172.676844e-08
0.5059221.6577612.686659e-08
0.5077771.6576062.696510e-08
0.5096381.6574512.706397e-08
0.5115061.6572982.716321e-08
0.5133811.6571462.726281e-08
0.5152631.6569962.736277e-08
0.5171521.6568462.746310e-08
0.5190471.6566972.756380e-08
0.520951.656552.766487e-08
0.522861.6564032.776631e-08
0.5247761.6562582.786812e-08
0.52671.6561142.797030e-08
0.5286311.6559712.807286e-08
0.5305681.6558282.817579e-08
0.5325131.6556872.827910e-08
0.5344651.6555472.838279e-08
0.5364241.6554082.848686e-08
0.5383911.655272.859131e-08
0.5403641.6551332.869615e-08
0.5423451.6549962.880136e-08
0.5443331.6548612.890697e-08
0.5463281.6547272.901296e-08
0.5483311.6545942.911934e-08
0.551.6544842.920800e-08
0.5503411.6544612.922610e-08
0.5523581.654332.933322e-08
0.5543831.65422.944074e-08
0.5564151.654072.954864e-08
0.5584551.6539412.965695e-08
0.5605021.6538142.976565e-08
0.5625561.6536872.987474e-08
0.5646191.6535612.998424e-08
0.5666881.6534363.009414e-08
0.5687651.6533123.020445e-08
0.570851.6531883.031515e-08
0.5729431.6530663.042626e-08
0.5750431.6529443.053778e-08
0.5771511.6528233.064971e-08
0.5792671.6527033.076205e-08
0.581391.6525843.087480e-08
0.5835211.6524663.098797e-08
0.585661.6523483.110155e-08
0.5878071.6522313.121554e-08
0.5899611.6521153.132995e-08
0.5921241.6523.144479e-08
0.5942951.6518863.156004e-08
0.5964731.6517723.167572e-08
0.5986591.6516593.179182e-08
0.61.651593.186300e-08
0.6008541.6515473.190834e-08
0.6030561.6514353.202529e-08
0.6052671.6513253.214268e-08
0.6074861.6512153.226049e-08
0.6097121.6511053.237873e-08
0.6119471.6509973.249741e-08
0.6141911.6508893.261652e-08
0.6164421.6507823.273607e-08
0.6187021.6506753.285606e-08
0.620971.650573.297648e-08
0.6232461.6504643.309735e-08
0.625531.650363.321866e-08
0.6278231.6502563.334042e-08
0.6301251.6501533.346262e-08
0.6324341.6500513.358527e-08
0.6347531.6499493.370837e-08
0.6370791.6498483.383192e-08
0.6394151.6497473.395592e-08
0.6417591.6496473.408038e-08
0.6441111.6495483.420530e-08
0.6464721.6494493.433067e-08
0.6488421.6493513.445650e-08
0.651.6493043.451800e-08
0.651221.6492543.458279e-08
0.6536071.6491573.470955e-08
0.6560031.6490613.483677e-08
0.6584081.6489653.496446e-08
0.6608211.648873.509261e-08
0.6632441.6487753.522124e-08
0.6656751.6486813.535034e-08
0.6681151.6485883.547991e-08
0.6705641.6484953.560995e-08
0.6730221.6484023.574047e-08
0.6754891.6483113.587147e-08
0.6779651.6482193.600295e-08
0.680451.6481293.613491e-08
0.6829451.6480383.626736e-08
0.6854481.6479493.640029e-08
0.6879611.6478593.653371e-08
0.6904821.6477713.666762e-08
0.6930131.6476833.680201e-08
0.6955541.6475953.693691e-08
0.6981031.6475083.707229e-08
0.71.6474433.717300e-08
0.7006621.6474213.720818e-08
0.7032311.6473353.734458e-08
0.7058091.6472493.748149e-08
0.7083961.6471643.761890e-08
0.7109921.6470793.775681e-08
0.7135991.6469943.789523e-08
0.7162141.646913.803415e-08
0.718841.6468273.817358e-08
0.7214751.6467443.831353e-08
0.7241191.6466613.845398e-08
0.7267741.6465793.859496e-08
0.7294381.6464973.873644e-08
0.7321121.6464163.887845e-08
0.7347951.6463353.902098e-08
0.7374891.6462553.916403e-08
0.7401921.6461743.930761e-08
0.7429051.6460953.945171e-08
0.7456291.6460163.959634e-08
0.7483621.6459373.974150e-08
0.7511051.6458583.988719e-08
0.7538581.645784.003341e-08
0.7566221.6457024.018018e-08
0.7593951.6456254.032748e-08
0.7621791.6455484.047531e-08
0.7649731.6454714.062370e-08
0.7677771.6453954.077262e-08
0.7705911.6453194.092209e-08
0.7734161.6452434.107211e-08
0.7762511.6451684.122268e-08
0.7790961.6450934.137380e-08
0.7819521.6450194.152548e-08
0.7848181.6449454.167771e-08
0.7876951.6448714.183050e-08
0.7905831.6447974.198385e-08
0.7934811.6447244.213776e-08
0.7963891.6446514.229223e-08
0.7993091.6445784.244728e-08
0.81.6445614.248400e-08
0.8022381.6445064.260287e-08
0.8051791.6444344.275903e-08
0.8081311.6443624.291577e-08
0.8110931.6442914.307308e-08
0.8140661.644224.323096e-08
0.817051.6441494.338943e-08
0.8200451.6440784.354847e-08
0.8230511.6440084.370810e-08
0.8260681.6439384.386832e-08
0.8290961.6438684.402912e-08
0.8321351.6437994.419051e-08
0.8351861.6437294.435249e-08
0.8382471.6436614.451507e-08
0.841321.6435924.467824e-08
0.8444041.6435234.484201e-08
0.8474991.6434554.500638e-08
0.8506061.6433874.517135e-08
0.8537241.6433194.533693e-08
0.8568531.6432524.550311e-08
0.8599941.6431854.566991e-08
0.8631461.6431184.583731e-08
0.866311.6430514.600533e-08
0.8694861.6429844.617396e-08
0.8726731.6429184.634322e-08
0.8758721.6428514.651309e-08
0.8790821.6427854.668358e-08
0.8823051.642724.685470e-08
0.8855391.6426544.702645e-08
0.8887851.6425894.719883e-08
0.8920431.6425234.737184e-08
0.8953131.6424584.754548e-08
0.8985951.6423944.771976e-08
0.9018891.6423294.789468e-08
0.9051951.6422644.807024e-08
0.9085131.64224.824645e-08
0.9118431.6421364.842330e-08
0.9151861.6420724.860079e-08
0.918541.6420084.877894e-08
0.9219071.6419444.895774e-08
0.9252871.6418814.913720e-08
0.9286781.6418184.931731e-08
0.9320831.6417544.949809e-08
0.9354991.6416914.967953e-08
0.9389281.6416284.986163e-08
0.942371.6415655.004440e-08
0.9458241.6415035.022784e-08
0.9492911.641445.041195e-08
0.9527711.6413785.059674e-08
0.9562641.6413165.078220e-08
0.9597691.6412535.096835e-08
0.9632871.6411915.115518e-08
0.9668181.6411295.134269e-08
0.9703621.6410675.153089e-08
0.9739191.6410065.171978e-08
0.9774891.6409445.190936e-08
0.9810721.6408825.209963e-08
0.9846681.6408215.229061e-08
0.9882781.640765.248228e-08
0.9919011.6406985.267466e-08
0.9955361.6406375.286774e-08
0.9991861.6405765.306153e-08
1.002851.6405155.325603e-08
1.006521.6404545.345124e-08
1.010211.6403935.364717e-08
1.013921.6403325.384382e-08
1.017631.6402715.404118e-08
1.021361.6402115.423927e-08
1.025111.640155.443809e-08
1.028871.6400895.463764e-08
1.032641.6400295.483791e-08
1.036421.6399685.503892e-08
1.040221.6399085.524067e-08
1.044031.6398475.544316e-08
1.047861.6397875.564639e-08
1.05171.6397265.585037e-08
1.055561.6396665.605509e-08
1.059431.6396065.626056e-08
1.061.6395975.629100e-08
1.063311.6395455.646679e-08
1.067211.6394855.667377e-08
1.071121.6394255.688152e-08
1.075051.6393655.709002e-08
1.078991.6393045.729929e-08
1.082941.6392445.750933e-08
1.086911.6391845.772013e-08
1.09091.6391235.793171e-08
1.094891.6390635.814407e-08
1.098911.6390035.835720e-08
1.102941.6389435.857112e-08
1.106981.6388825.878581e-08
1.111041.6388225.900130e-08
1.115111.6387625.921758e-08
1.11921.6387015.943464e-08
1.12331.6386415.965251e-08
1.127421.638585.987117e-08
1.131551.638526.009063e-08
1.13571.6384596.031090e-08
1.139861.6383996.053198e-08
1.144041.6383386.075386e-08
1.148231.6382776.097656e-08
1.152441.6382176.120008e-08
1.156671.6381566.142442e-08
1.160911.6380956.164957e-08
1.165161.6380346.187556e-08
1.169431.6379736.210237e-08
1.173721.6379126.233001e-08
1.178021.6378516.255849e-08
1.182341.637796.278780e-08
1.186671.6377296.301796e-08
1.191021.6376676.324896e-08
1.195391.6376066.348080e-08
1.199771.6375446.371350e-08
1.204171.6374836.394705e-08
1.208581.6374216.418145e-08
1.213011.6373596.441671e-08
1.217461.6372976.465284e-08
1.221921.6372356.488983e-08
1.22641.6371736.512769e-08
1.23091.6371116.536642e-08
1.235411.6370486.560603e-08
1.239941.6369866.584652e-08
1.244481.6369236.608788e-08
1.249041.6368616.633014e-08
1.253621.6367986.657328e-08
1.258221.6367356.681731e-08
1.262831.6366726.706223e-08
1.267461.6366086.730806e-08
1.272111.6365456.755478e-08
1.276771.6364816.780241e-08
1.281451.6364186.805095e-08
1.286151.6363546.830040e-08
1.290861.636296.855076e-08
1.295591.6362256.880204e-08
1.300341.6361616.905424e-08
1.305111.6360966.930737e-08
1.309891.6360326.956142e-08
1.314691.6359676.981640e-08
1.319511.6359027.007232e-08
1.324351.6358367.032918e-08
1.32921.6357717.058698e-08
1.334081.6357057.084572e-08
1.338971.635647.110542e-08
1.343881.6355737.136606e-08
1.34881.6355077.162766e-08
1.353751.6354417.189022e-08
1.358711.6353747.215374e-08
1.363691.6353077.241823e-08
1.368691.635247.268368e-08
1.37371.6351737.295011e-08
1.378741.6351057.321752e-08
1.383791.6350387.348591e-08
1.388871.634977.375528e-08
1.393961.6349017.402563e-08
1.399071.6348337.429698e-08
1.40421.6347647.456933e-08
1.409341.6346957.484267e-08
1.414511.6346267.511701e-08
1.419691.6345577.539236e-08
1.42491.6344877.566872e-08
1.430121.6344177.594609e-08
1.435361.6343477.622448e-08
1.440621.6342767.650389e-08
1.445911.6342057.678432e-08
1.451211.6341347.706578e-08
1.456521.6340637.734828e-08
1.461861.6339917.763180e-08
1.467221.6339197.791637e-08
1.47261.6338477.820198e-08
1.4781.6337757.848864e-08
1.483421.6337027.877635e-08
1.488851.6336297.906511e-08
1.494311.6335557.935493e-08
1.499791.6334827.964582e-08
1.51.6334797.965700e-08
1.505291.6334088.275536e-08
1.51081.6333338.598894e-08
1.516341.6332588.923437e-08
1.52191.6331839.249169e-08
1.527481.6331089.576096e-08
1.533081.6330329.904221e-08
1.53871.6329561.023355e-07
1.544341.632881.056408e-07
1.551.6328031.089583e-07

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—